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22794240 = 21235753
BaseRepresentation
bin101011011110…
…1000000000000
31120220001211010
41112331000000
521313403430
62132320520
7364514340
oct126750000
946801733
1022794240
1111959717
127773140
134951221
143054d20
152003cb0
hex15bd000

22794240 has 208 divisors, whose sum is σ = 84924288. Its totient is φ = 5111808.

The previous prime is 22794227. The next prime is 22794241. The reversal of 22794240 is 4249722.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22794198 and 22794207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22794241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 430054 + ... + 430106.

Almost surely, 222794240 is an apocalyptic number.

22794240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42462144).

22794240 is an abundant number, since it is smaller than the sum of its proper divisors (62130048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22794240 is an equidigital number, since it uses as much as digits as its factorization.

22794240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 22794240 is about 4774.3313667989. The cubic root of 22794240 is about 283.5361070566.

The spelling of 22794240 in words is "twenty-two million, seven hundred ninety-four thousand, two hundred forty".